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Technical Foundations
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01. Probability and Statistics
Counting: Permutations & Combinations
Probability Axioms & Sample Space
Events: Independent & Mutually Exclusive
Marginal, Conditional & Joint Probability
Bayes Theorem
Conditional Expectation & Variance
Mean, Median, Mode & Standard Deviation
Correlation & Covariance
Random Variables & Probability Mass Functions
Uniform, Bernoulli & Binomial Distribution
Continuous: Uniform, Exponential, Poisson, Normal
t-Distribution & Chi-Squared Distribution
CDF & Conditional PDF
Central Limit Theorem
Confidence Interval
z-test, t-test & Chi-Squared Test
02. Linear Algebra
Vector Space & Subspaces
Linear Dependence & Independence
Matrices & Their Properties
Projection, Orthogonal & Idempotent Matrix
Partition Matrix & Quadratic Forms
Systems of Linear Equations & Gaussian Elimination
Eigenvalues & Eigenvectors
Determinant, Rank & Nullity
Projections
LU Decomposition
Singular Value Decomposition (SVD)
03. Calculus and Optimization
Functions of a Single Variable
Limit, Continuity & Differentiability
Taylor Series
Maxima & Minima
Optimization: Single Variable
04. Database Management & Warehousing
ER Model
Relational Model, Algebra & Tuple Calculus
SQL
Integrity Constraints & Normal Form
File Organization & Indexing
Data Transformation: Normalization, Discretization, Sampling
Data Warehouse Modelling
Multidimensional Schema & Concept Hierarchies
Measures: Categorization & Computations
05. Machine Learning
Regression & Classification Overview
Simple & Multiple Linear Regression
Ridge & Logistic Regression
K-Nearest Neighbour
Naive Bayes Classifier
Linear Discriminant Analysis
Support Vector Machine
Decision Trees
Bias-Variance Trade-off
Cross-Validation: LOO & K-Fold
MLP & Feed-Forward Neural Network
Clustering: K-Means & K-Medoid
Hierarchical Clustering
Dimensionality Reduction & PCA
06. Python Programming
Syntax, Variables & Data Types
Control Flow & Loops
Functions & Lambda
Lists, Tuples, Sets & Dictionaries
String Manipulation
File Handling
OOP: Classes & Objects
Inheritance & Polymorphism
Exception Handling
Modules & Packages
Iterators & Generators
Decorators
List, Dict & Set Comprehensions
Virtual Environments & pip
07. Data Structures & Algorithms
Arrays & Strings
Linked Lists
Stacks & Queues
Hash Tables
Trees & Binary Trees
BST & AVL Trees
Heaps & Priority Queues
Graphs: Representation
BFS & DFS
Sorting Algorithms
Searching Algorithms
Recursion & Backtracking
Dynamic Programming
Greedy Algorithms
Time & Space Complexity
08. Python Libraries
NumPy
Pandas
Matplotlib
Seaborn
Scikit-learn
SciPy
Statsmodels
TensorFlow
Keras
PyTorch
XGBoost
LightGBM
Designed and crafted with ❤️ by
Biswajit Pradhan